Approximate solution of nonlinear triad interactions of acoustic-gravity waves in cylindrical coordinates

doi:10.1016/j.cnsns.2020.105514

IMECH-IR > 流固耦合系统力学重点实验室

	Approximate solution of nonlinear triad interactions of acoustic-gravity waves in cylindrical coordinates
	Kadri, Usama 1; Wang, Zhan 2
通讯作者	Kadri, Usama()
发表期刊	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
	2021-02-01
卷号	93 页码:9
ISSN	1007-5704
摘要	The three-dimensional radial propagation of wave disturbances over a slightly compressible fluid of constant depth is discussed. We focus on resonant triads comprising two gravity modes and one acoustic mode. The derivation of the evolution equations in a non-integral form is made possible by approximating the radial solution by cosine functions in two regions, inner and outer, that are matched at a location where all relevant derivatives are in agreement with the exact Bessel solution. When the interaction takes place in the inner region of all modes, the amplitude evolution equations are found to be similar to the two-dimensional case. However, focusing of one gravity mode and de-focusing of the other is observed when the interaction involves an inner region of the acoustic mode, and outer regions of the gravity modes. (C) 2020 Elsevier B.V. All rights reserved.
DOI	10.1016/j.cnsns.2020.105514
收录类别	SCI
语种	英语
WOS记录号	WOS:000591935000001
关键词[WOS]	FLUID
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
资助项目	National Natural Science Foundation of China[11772341] ; Key Research Program of Frontier Sciences, CAS[QYZDBSSW-SYS015]
项目资助者	National Natural Science Foundation of China ; Key Research Program of Frontier Sciences, CAS
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/85859
专题	流固耦合系统力学重点实验室
通讯作者	Kadri, Usama
作者单位	1.Cardiff Univ, Sch Math, Cardiff CF24 4AG, Wales 2.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Kadri, Usama,Wang, Zhan. Approximate solution of nonlinear triad interactions of acoustic-gravity waves in cylindrical coordinates[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2021,93:9.
APA	Kadri, Usama,&Wang, Zhan.(2021).Approximate solution of nonlinear triad interactions of acoustic-gravity waves in cylindrical coordinates.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,93,9.
MLA	Kadri, Usama,et al."Approximate solution of nonlinear triad interactions of acoustic-gravity waves in cylindrical coordinates".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 93(2021):9.

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